Besov Spaces and Frames on Compact Manifolds

Abstract

We show that one can characterize the Besov spaces on a smooth compact oriented Riemannian manifold, for the full range of indices, through a knowledge of the size of frame coefficients, using the frames we have constructed in [8].

27 pages. This paper is a continuation of our article ``Nearly Tight Frames and Space-Frequency Analysis on Compact Manifolds''. Keywords and phrases: Wavelets, Frames, Spectral Theory, Besov Spaces, Manifolds, Pseudodifferential Operators